Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67620m |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-31354041600 = -1 · 28 · 33 · 52 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,740,-3800] |
[a1,a2,a3,a4,a6] |
j |
509680208/357075 |
j-invariant |
L |
1.3229174272463 |
L(r)(E,1)/r! |
Ω |
0.66145871249356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67620ba2 |
Quadratic twists by: -7 |